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NEET PHYSICSWAVEMedium

Question

If we study the vibration of a pipe open at both ends, then which of the following statements is not true:

A

Odd harmonics of the fundamental frequency will be generated.

B

All harmonics of the fundamental frequency will be generated.

C

Pressure change will be maximum at both ends.

D

The open end will be an antinode.

Step-by-Step Solution

In an organ pipe open at both ends, the air particles at the open ends are free to vibrate with maximum amplitude, forming displacement antinodes. A displacement antinode always corresponds to a pressure node. At a pressure node, the pressure remains constant (equal to the atmospheric pressure), meaning the pressure variation or pressure change is minimum (zero). Therefore, the statement 'Pressure change will be maximum at both ends' is incorrect. Additionally, for an open pipe, the allowed frequencies are integral multiples of the fundamental frequency (fn=nv2Lf_n = n \frac{v}{2L}, where n=1,2,3,n = 1, 2, 3, \dots), meaning all harmonics (both odd and even) are generated.

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from WAVE. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSWAVEvibrationfollowingstatements

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